Vortex Structure in Magnetic Nanodots: Dipolar Interaction, Mobile Spin Model, Phase Transition and Melting

Aurélien Bailly-Reyre (1) , Hung T. T Diep (2)

1 LPNHE (UMR_7585) - Laboratoire de Physique Nucléaire et de Hautes Énergies
2 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

We study in this article properties of a nanodot embedded in a support by Monte Carlo simulation. The nanodot is a piece of simple cubic lattice where each site is occupied by a mobile Heisenberg spin which can move from one lattice site to another under the effect of the temperature and its interaction with neighbors. We take into account a short-range exchange interaction between spins and a long-range dipolar interaction. We show that the ground-state configuration is a vortex around the dot central axis: the spins on the dot boundary lie in the $xy$ plane but go out of plane with a net perpendicular magnetization at the dot center. Possible applications are discussed. Finite-temperature properties are studied. We show the characteristics of the surface melting and determine the energy, the diffusion coefficient and the layer magnetizations as functions of temperature.

Mots clés: Nanodot; Spin Texture; Dipolar Interaction; Monte Carlo Simulation; numbers: 75.10.-b; 75.10.Hk; 64.60.Cn :

Domaines: Mécanique statistique [cond-mat.stat-mech]

Aurélien Bailly-Reyre, Hung T. T Diep. Vortex Structure in Magnetic Nanodots: Dipolar Interaction, Mobile Spin Model, Phase Transition and Melting. Journal of Magnetism and Magnetic Materials, 2021, 528, pp.167813. ⟨10.1016/j.jmmm.2021.167813⟩. ⟨hal-03132207⟩